Developing a Common Model for Predicting the Wax Deposition in Crude Pipelines

Author(s):  
Qing Miao ◽  
Baoliang Jiang ◽  
Qiyu Huang ◽  
Zhengfeng Jiang ◽  
Sen Hu

Wax Deposition commonly occurs in hot waxy crude oil pipelines. How to precisely predict the wax deposition is significant to the safe operation of pipelines. Presently the applied way to predict wax deposition in crude pipelines is mainly through numerical solutions by using the wax deposition mathematical model aimed at pipelined crude and relevant pipeline parameters, in which creating a precise wax deposition model plays an important role. Because wax deposition strongly depends on the composition of crude, most parameters in wax deposition model have to be determined through laboratory loop tests. Previous practices show that loop tests not only take a long time but also consume a large amount of crude sample. To obtain a precise model all the above had to be done in the past. Many wax deposition loop tests aimed at different crude oils have been carried out in our laboratory and, more importantly, a great deal of test data have been collected and analyzed. Now, based on our new research results on mechanism of wax deposition in crude pipelines and test data of up to 9 representative crudes, a common rule about wax deposition available to most crudes and their tests on loop has been excitedly discovered. It has resulted in the development of a new practical and more efficient mathematical model, which no longer needs long-time loop tests and large amount of crude sample and could be commonly or generally used on wax deposition prediction of most crude oils in pipelines. In this paper, how to discover the common rule about wax deposition of most crudes is introduced in detail. Also, a verification case for the application of the new model on a practical crude pipeline in China has been implemented by comparing the prediction results according to the new model with the operational data from the field during 7 pigging cycles. It is necessary to emphasize that the crude selected in this case for verifying is not among the 9 crudes used to establish the new model. The verification results show that the average error of prediction using the new model is only −4.215% and the maximal error is −20%, which are far better than ±30% by value in average prediction error tolerated on engineering application of wax deposition prediction around the world currently. So the results are very successful and encouraging and imply a prospective application.

2021 ◽  
Vol 40 (4) ◽  
pp. 8493-8500
Author(s):  
Yanwei Du ◽  
Feng Chen ◽  
Xiaoyi Fan ◽  
Lei Zhang ◽  
Henggang Liang

With the increase of the number of loaded goods, the number of optional loading schemes will increase exponentially. It is a long time and low efficiency to determine the loading scheme with experience. Genetic algorithm is a search heuristic algorithm used to solve optimization in the field of computer science artificial intelligence. Genetic algorithm can effectively select the optimal loading scheme but unable to utilize weight and volume capacity of cargo and truck. In this paper, we propose hybrid Genetic and fuzzy logic based cargo-loading decision making model that focus on achieving maximum profit with maximum utilization of weight and volume capacity of cargo and truck. In this paper, first of all, the components of the problem of goods stowage in the distribution center are analyzed systematically, which lays the foundation for the reasonable classification of the problem of goods stowage and the establishment of the mathematical model of the problem of goods stowage. Secondly, the paper abstracts and defines the problem of goods loading in distribution center, establishes the mathematical model for the optimization of single car three-dimensional goods loading, and designs the genetic algorithm for solving the model. Finally, Matlab is used to solve the optimization model of cargo loading, and the good performance of the algorithm is verified by an example. From the performance evaluation analysis, proposed the hybrid system achieve better outcomes than the standard SA model, GA method, and TS strategy.


2014 ◽  
Vol 986-987 ◽  
pp. 1418-1421
Author(s):  
Jun Shan Li

In this paper, we propose a meshless method for solving the mathematical model concerning the leakage problem when the pressure is tested in the gas pipeline. The method of radial basis function (RBF) can be used for solving partial differential equation by writing the solution in the form of linear combination of radius basis functions, that is, when integrating the definite conditions, one can find the combination coefficients and then the numerical solution. The leak problem is a kind of inverse problem that is focused by many engineers or mathematical researchers. The strength of the leak can find easily by the additional conditions and the numerical solutions.


2012 ◽  
Vol 120 ◽  
pp. 61-68 ◽  
Author(s):  
A.S. Gregory ◽  
N.R.A. Bird ◽  
C.W. Watts ◽  
A.P. Whitmore

Author(s):  
İREM ÇAY ◽  
SERDAL PAMUK

In this work, we obtain the numerical solutions of a 2D mathematical model of tumor angiogenesis originally presented in [Pamuk S, ÇAY İ, Sazci A, A 2D mathematical model for tumor angiogenesis: The roles of certain cells in the extra cellular matrix, Math Biosci 306:32–48, 2018] to numerically prove that the certain cells, the endothelials (EC), pericytes (PC) and macrophages (MC) follow the trails of the diffusions of some chemicals in the extracellular matrix (ECM) which is, in fact, inhomogeneous. This leads to branching, the sprouting of a new neovessel from an existing vessel. Therefore, anastomosis occurs between these sprouts. In our figures we do see these branching and anastomosis, which show the fact that the cells diffuse according to the structure of the ECM. As a result, one sees that our results are in good agreement with the biological facts about the movements of certain cells in the Matrix.


2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Pratchaya Chanprasopchai ◽  
I. Ming Tang ◽  
Puntani Pongsumpun

The dengue disease is caused by dengue virus, and there is no specific treatment. The medical care by experienced physicians and nurses will save life and will lower the mortality rate. A dengue vaccine to control the disease is available in Thailand since late 2016. A mathematical model would be an important way to analyze the effects of the vaccination on the transmission of the disease. We have formulated an SIR (susceptible-infected-recovered) model of the transmission of the disease which includes the effect of vaccination and used standard dynamical modelling methods to analyze the effects. The equilibrium states and their stabilities are investigated. The trajectories of the numerical solutions plotted into the 2D planes and 3D spaces are presented. The main contribution is determining the role of dengue vaccination in the model. From the analysis, we find that there is a significant reduction in the total hospitalization time needed to treat the illness.


Author(s):  
Najma Ahmed ◽  
Dumitru Vieru ◽  
Fiazud Din Zaman

A generalized mathematical model of the breast and ovarian cancer is developed by considering the fractional differential equations with Caputo time-fractional derivatives. The use of the fractional model shows that the time-evolution of the proliferating cell mass, the quiescent cell mass, and the proliferative function are significantly influenced by their history. Even if the classical model, based on the derivative of integer order has been studied in many papers, its analytical solutions are presented in order to make the comparison between the classical model and the fractional model. Using the finite difference method, numerical schemes to the Caputo derivative operator and Riemann-Liouville fractional integral operator are obtained. Numerical solutions to the fractional differential equations of the generalized mathematical model are determined for the chemotherapy scheme based on the function of "on-off" type. Numerical results, obtained with the Mathcad software, are discussed and presented in graphical illustrations. The presence of the fractional order of the time-derivative as a parameter of solutions gives important information regarding the proliferative function, therefore, could give the possible rules for more efficient chemotherapy.


2009 ◽  
Vol 23 (10) ◽  
pp. 2303-2322 ◽  
Author(s):  
XIAO-FENG PANG ◽  
MEI-JIE LIU

The dynamic features of soliton transporting the bio-energy in the α-helix protein molecules with three channels under influences of temperature of systems and chain–chain interaction among these channels have been numerically studied by using the dynamic equations in a new model and the fourth-order Runge–Kutta method. This result obtained shows that the chain–chain interaction depresses the stability of the soliton due to the dispersed effect, but the stability of the soliton in the case of simultaneous motivation of three channels by an initial conditions is better than that in another initial condition. We also find from this investigation that the new soliton can transport steadily over 1000 amino acid residues in the cases of motion of long time of 120 ps, and retain their shapes and energies to travel towards the protein molecules after mutual collision of the solitons at the biological temperatures of 300 K. Therefore the soliton is very robust against the thermal perturbation of the α-helix protein molecules at 300 K. From the investigation of changes of features of the soliton with increasing temperature, we find that the amplitudes and velocities of the solitons decrease with increasing temperature of proteins, but the soliton disperses in the cases of higher temperature of 325 K and larger structure disorders. Thus we find that the critical temperature of the soliton occurring in the α-helix protein molecules is about 320 K. Therefore we can conclude that the soliton in the new model can play an important role in the bio-energy transport in the α-helix protein molecules with three channels at biological temperature, and the new model is possibly a candidate for the mechanism of this transport.


2021 ◽  
Vol 2021 (3) ◽  
pp. 48-54
Author(s):  
V. Lukovich ◽  
◽  
V. Kartuzov ◽  

This effort presents the results of investigation of cathodic protection process of a section of the main pipeline, which has been operating in cathodic protection mode for a long time and which insulation has completely exfoliated from metal surface, and a cavity between is filled with water and salt impurities. In this case, a decisive factor is a fact that a metal surface is covered with microroughnesses in the form of protrusions with almost conical shape. The surface is immersed in electrolyte. At the electrolyte-metal interface, a potential difference is formed - a corrosion potential, which creates an unstable equilibrium among the potentials of metal and electrolyte. A mathematical model is designed and implemented into a numerical algorithm and computer program. A computational experiment has been carried out to calculate the potential around microroughness. The model describes a change in potential in this area at incomplete and complete cathodic protection of metal surface. The basis of computational model is a selection of one of metal protrusions of material microheterogeneity and placing it in a cylinder, which diameter coincides with that one of the lower base of this protrusion, and its upper part passes through the apex of the protrusion. Mathematical model equations with corresponding boundary conditions and their discrete implementation are presented. The solution of problems is obtained by iterative procedures based on reference values of protective potential taken from practice. The results of computational experiment are presented in the form of graphs: 1) potential distribution in the field of electrolytes; 2) changes in electrolyte potential at the border with protrusion at different values of polarization potential; 3) changes in polarization resistance in the area (calculated). The geometry of computational domain was also varied, and the values of protective potential were determined to ensure the absence of corrosion. Keywords: corrosion, microroughness, protective potential, plastic current density, electrolyte


Author(s):  
Fabio Junior ◽  
Felipe Fleming ◽  
Luis Fernando Alzuguir Azevedo ◽  
ivan fernney ibanez aguilar ◽  
Angela Nieckele

2021 ◽  
pp. 1-19
Author(s):  
JULIANA M. BERBERT ◽  
KAREN A. OLIVEIRA ◽  
RAFAELA F. MARTIN ◽  
DANILO C. CENTENO

We focus on the evaluation of photosynthetic organisms. Some species and tissues can endure periods of the dry season because they rely on a robust dynamics of metabolites. The metabolic dynamics are complex and challenging to address because it involves several steps, usually with hundreds of metabolites. The metabolites densities vary among species and tissues and respond to external conditions, such as an environmental stimulus like water supply. Understanding these responses, particularly the desiccation–rehydration processes, are important both economically and evolutionarily, especially in the presence of climate change. Therefore, we propose a new way to analyze the dynamics of metabolites with a compartmental model which explores the metabolites densities’ dependence on water explicitly. We use a mathematical formulation to model the dynamics among three essential metabolites classes: sugar ([Formula: see text]), active metabolite ([Formula: see text]), and reserve accumulation ([Formula: see text]). Through stability analysis and numerical solutions, we characterize regions on the phase space, defined by the transition rates between the classes [Formula: see text] to [Formula: see text] and [Formula: see text] to [Formula: see text], where the system diverges or approaches zero. We show that different species and tissues respond distinctly to desiccation processes, being more or less resilient according to the transitions rate between the compartments of the model. Furthermore, the effects of water supply fluctuation, due to the desiccation–rehydration processes, show that unless the organism has a robust reservoir metabolism, the system cannot support itself for a long time. Many results corroborate experimental observations, and others provide a new perspective on the studies of metabolic dynamics, such as the significance of the reservoir metabolism. We understand that knowing the organism’s response to abiotic changes, particularly that of the water supply, may improve our management of the use of these organisms, for example, in the crop field during climate changes.


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